1
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
+3
-0.75
If $$f(x)$$ is differentiable and $$\int\limits_0^{{t^2}} {xf\left( x \right)dx = {2 \over 5}{t^5},} $$ then $$f\left( {{4 \over {25}}} \right)$$ equals
2
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+3
-0.75
If $$l\left( {m,n} \right) = \int\limits_0^1 {{t^m}{{\left( {1 + t} \right)}^n}dt,} $$ then the expression for $$l(m, n)$$ in terms of $$l(m+n, n-1)$$ is
3
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+3
-0.75
If $$f\left( x \right) = \int\limits_{{x^2}}^{{x^2} + 1} {{e^{ - {t^2}}}} dt,$$ then $$f(x)$$ increases in
4
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+3
-0.75
The integral $$\int\limits_{ - 1/2}^{1/2} {\left( {\left[ x \right] + \ell n\left( {{{1 + x} \over {1 - x}}} \right)} \right)dx} $$ equal to
Questions Asked from Definite Integration (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
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IIT-JEE 2005 Screening (1)
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IIT-JEE 2001 Screening (1)
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IIT-JEE 1993 (1)
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IIT-JEE 1983 (1)
IIT-JEE 1981 (2)
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